A chaotic model of spontaneous (without external stimulus) neuron firing has been analyzed by mapping the irregular spiking time-series into telegraph signals. In this model the fundamental frequency of chaotic Rössler attractor provides (with a period doubling) the strong periodic component of the generated irregular signal. The exponentially decaying broad-band part of the spectrum of the Rös...

If we allow non-smooth or discontinuous functions in definition of an evolution operator for dynamical systems, then situations of quasi-hyperbolic chaotic dynamics often occur like, for example, on attractors in model Lozi map and in Belykh map. The present article deals with the quasihyperbolic attractor of Belykh in a map describing a rotator with dissipation driven by periodic kicks, the in...

We present a self–consistent nonparametric model of the cosmic velocity field based on the spatial distribution of IRAS galaxies in the recently completed all–sky PSCz redshift survey. The dense sampling of PSCz galaxies allows us to infer peculiar velocities field up to large distances with unprecedented high resolution. The most streaking feature of the PSCz model velocity field is a coherent...

A chaotic flow has an involutional symmetry if the form of the dynamical equations remains unchanged when one or more of the variables changes sign. Such systems are of theoretical and practical importance because they can exhibit symmetry breaking in which a symmetric pair of attractors coexist and merge into one symmetric attractor through an attractor-merging bifurcation. This paper describe...

The Cournot triopoly model may possess a triple chaotic attractor. In the paper, we present an approach for controlling the three coexisting chaotic attractors by means of steering the system dynamics from one attractor to another. The control scheme is based on predictive control. We give the design procedure and show by numerical results the effectiveness of the control in presence of the inp...

Recently a feed-forward model was put forward to account for the phenomenon of context correlations (observed by Miyashita and by Yakovlev et al) to replace the attractor picture developed for these findings. It is argued that the new proposal misses the main issues posed by the experimental situation as well as the salient aspects of the attractor scenario, which combines delay activity neural...